Biomedical Engineering Gate 2025 Questions with Answer

Ques 27 GATE 2025


A Wheatstone bridge is used to measure strain as shown in the figure below.
Initially the bridge was balanced. When a strain is applied to the resistor Rstrain, along its length, the output voltage VOUT is 10 mV. If Rstrain is a cylindrical resistor of length and cross-sectional area A, the magnitude of the applied strain is ______ (rounded off to two decimal places)


(0.00) is the correct answer.

Ques 28 GATE 2025


A voltage source Vs=5 sin(100t+π/2) volts is driving a current I=10 sin(100t+π/6) mA through a circuit. The average power dissipated in the circuit is ______ mW.


(12.5) is the correct answer.

Ques 29 GATE 2025


In the circuit shown below, Vin=10cos(1000t) volts. The magnitude of the input impedance of the circuit is ______ kΩ. (rounded off to one decimal place)


(5.0) is the correct answer.

Ques 30 GATE 2025


For the RLC circuit shown below, the root mean square current (Irms) at the resonance frequency is ______ amperes. (rounded off to the nearest integer)


(4) is the correct answer.

Ques 31 GATE 2025


The closed loop system shown below _______

A

is overdamped

B

is underdamped

C

is critically damped

D

has sustained oscillations


(b) is the correct answer.

Ques 32 GATE 2025


Which one of the following statements is CORRECT for any second order linear system with Proportional Integral Derivative (PID) controller?

A

Integral component decreases residual steady state error

B

Integral component integrates the output signal only

C

Integral component increases residual steady state error

D

Integral component integrates the input signal only


(a) is the correct answer.

Ques 33 GATE 2025


The determinant of a 3×3 matrix M is 8. If every element of M is multiplied by -2, the determinant of the modified matrix will be

A

-64

B

-16

C

8

D

64


(a) is the correct answer.

Ques 34 GATE 2025


For any continuous and differentiable function f(x) with first derivative f'(x)≠0 for all values of x, which one of the following is ALWAYS TRUE for a≠b?
Here, a and b are finite and real.

A

f(a)>f(b)

B

f(a)=f(b)

C

f(a)≠f(b)

D

f(a)


(c) is the correct answer.

Ques 35 GATE 2025


The eigenvalues of the matrix are __________.

A

cosθ and sinθ

B

e and e-iθ where i=√-1

C

cosθ and sinθ

D

cos2θ and sin2θ


(b) is the correct answer.

Ques 36 GATE 2025


If f(x)=x-1/x, the value of limΔx→0(f(1+Δx)-f(1))/Δx is

A

0

B

1/2

C

1

D

2


(d) is the correct answer.

Ques 37 GATE 2025


N independent trials of a binomial random variable yield an expectation value of 16 and variance of 12. What is the value of N?

A

80

B

64

C

32

D

16


(b) is the correct answer.

Ques 38 GATE 2025


Given a function y(x) satisfying the differential equation
y''-0.25y=0,
with initial conditions y(0)=1; y'(0)=1, what is the value of y(loge100)?
Here, y' and y'' are the first and second derivatives of y, respectively.

A

14.05

B

14.25

C

14.95

D

14.65


(d) is the correct answer.

Ques 39 GATE 2025


Which of the following is/are CORRECT about the value of y=loge(-ex), where x is a real number.

A

y is real valued

B

y is complex valued

C

y=x±inπ, where n is an odd integer and i=√-1

D

y=x±inπ where n is an even integer and i=√-1


(b) is the correct answer.

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